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Finding the Fourth Proportional to 17,424.73, 24,040.83 and 9,869.86

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Solution

The fourth proportional to 17,424.73, 24,040.83 and 9,869.86 is: 13,617.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,424.73 : 24,040.83 = 9,869.86 : x
  2. Step 2: Convert to fraction form
    17,424.73/24,040.83 = 9,869.86/x
  3. Step 3: Cross multiply
    17,424.73x = 24,040.83 × 9,869.86
  4. Step 4: Simplify right side
    17,424.73x = 237,279,626.38
  5. Step 5: Solve for x
    x = 237,279,626.38/17,424.73
  6. Step 6: Final answer
    x = 13,617.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.